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1. Geometry and billiards [2005]
 Tabachnikov, Serge.
 Providence, R.I. : American Mathematical Society ; [s.l.] : Mathematics Advanced Study Semesters, c2005.
 Description
 Book — xi, 176 p. : ill. ; 22 cm.
 Summary

 Motivation: Mechanics and optics Billiard in the circle and the square Billiard ball map and integral geometry Billiards inside conics and quadrics Existence and nonexistence of caustics Periodic trajectories Billiards in polygons Chaotic billiards Dual billiards Bibliography Index.
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QA462.2 .G34 T33 2005  Unknown 
2. Billiards [1995]
 Tabachnikov, Serge.
 Paris : Société mathématique de France, 1995.
 Description
 Book — vi, 142 p. : ill. ; 24 cm.
 Online
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GV893 .T33 1995  Unknown 
 Fuks, D. B.
 Providence, R.I. : American Mathematical Society, c2007.
 Description
 Book — xv, 463 p. : ill. ; 27 cm.
 Summary

 Algebra and arithmetics: Arithmetic and combinatorics: Can a number be approximately rational? Arithmetical properties of binomial coefficients On collecting like terms, on Euler, Gauss, and MacDonald, and on missed opportunities Equations: Equations of degree three and four Equations of degree five How many roots does a polynomial have? Chebyshev polynomials Geometry of equations Geometry and topology: Envelopes and singularities: Cusps Around four vertices Segments of equal areas On plane curves Developable surfaces: Paper sheet geometry Paper Mobius band More on paper folding Straight lines: Straight lines on curved surfaces Twentyseven lines Web geometry The Crofton formula Polyhedra: Curvature and polyhedra Noninscribable polyhedra Can one make a tetrahedron out of a cube? Impossible tilings Rigidity of polyhedra Flexible polyhedra Two surprising topological constructions: Alexander's horned sphere Cone eversion On ellipses and ellipsoids: Billiards in ellipses and geodesics on ellipsoids The Poncelet porism and other closure theorems Gravitational attraction of ellipsoids Solutions to selected exercises Bibliography Index.
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QA37.3 .F83 2007  Unknown 
 Ovsienko, Valentin.
 Cambridge, UK ; New York : Cambridge University Press, 2005.
 Description
 Book — xi, 249 p. : ill. ; 24 cm.
 Summary

 Preface: why projective?
 1. Introduction
 2. The geometry of the projective line
 3. The algebra of the projective line and cohomology of Diff(S1)
 4. Vertices of projective curves
 5. Projective invariants of submanifolds
 6. Projective structures on smooth manifolds
 7. Multidimensional Schwarzian derivatives and differential operators
 Appendix 1. Five proofs of the Sturm theorem
 Appendix 2. The language of symplectic and contact geometry
 Appendix 3. The language of connections
 Appendix 4. The language of homological algebra
 Appendix 5. Remarkable cocycles on groups of diffeomorphisms
 Appendix 6. The GodbillonVey class
 Appendix 7. The AdlerGelfandDickey bracket and infinitedimensional Poisson geometry Bibliography Index.
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SAL3 (offcampus storage)
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QA660 .O87 2005  Available 
5. Kvant selecta : combinatorics, I [2001]
 Providence, R.I. : American Mathematical Society, c2001.
 Description
 Book — ix, 131 p. : ill ; 26 cm.
 Summary

 Two games with matchsticks by I. M. Yaglom Economics and linear inequalities by A. B. Katok Economics and linear inequalities (Continuation) by A. B. Katok Switching networks by R. V. Freivald Who will go to Rio? by G. M. Adel'sonVel'skii, I. N. Bernshtein, and M. L. Gerver From the life of units by A. L. Toom Nonrepeating sequences by G. A. Gurevich Words with restrictions by A. M. Stepin and A. T. TagiZade Planar switching circuits by S. Ovchinnikov Classification algorithms by P. Bleher and M. Kel'bert How to detect a counterfeit coin by G. Shestopal The generalized problem of counterfeit coins by M. Mamikon Truthtellers, liars, and deceivers by P. Bleher Solvable and unsolvable algorithmic problems by V. A. Uspenskii and A. L. Semenov Best bet for simpletons by P. A. Pevzner.
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QA164 .K82 2001  Available 
 Providence, R.I. : American Mathematical Society, c2001.
 Description
 Book — 1 online resource (ix, 131 p. : ill).
 Summary

 1. Two games with matchsticks 2. Economics and linear inequalities 3. Economics and linear inequalities (Continuation) 4. Switching networks 5. Who will go to Rio? 6. From the life of units 7. Nonrepeating sequences 8. Words with restrictions 9. Planar switching circuits 10. Classification algorithms 11. How to detect a counterfeit coin 12. The generalized problem of counterfeit coins 13. Truthtellers, liars, and deceivers 14. Solvable and unsolvable algorithmic problems 15. Best bet for simpletons
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7. Kvant selecta [1999]
 Providence, R.I. : American Mathematical Society, c1999.
 Description
 Book — 2 v. : ill ; 26 cm.
 Summary

 Binomial coefficients, polynomials, and sequences (Several approaches to a certain problem) by V. N. Vaguten Formulas for prime numbers by Yu. V. Matiyasevich Fermat's theorem for polynomials by B. Martynov Commuting polynomials by I. Yantarov On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunities by D. B. Fuchs Chebyshev polynomials and recurrence relations by N. Vasil'ev and A. Zelevinskii Why resistance does not decrease by O. V. Lyashko Evolution processes and ordinary differential equations by V. I. Arnol'd Irrationality and irreducibility by V. A. Oleinikov Irreducibility and irrationality by V. A. Oleinikov The arithmetic of elliptic curves by Yu. P. Solov'ev Pascal's hexagrams and cubic curves by N. B. Vasil'ev Kepler's second law and the topology of abelian integrals (According to Newton) by V. I. Arnol'd Partitions of integers by F. V. Vainstein On the Denogardus great number and Hooke's law by V. Yu. Ovsienko Polynomials having least deviation from zero by S. Tabachnikov.
 (source: Nielsen Book Data)
 The arithmetic of binomial coefficients by D. B. Fuchs and M. B. Fuchs Do you like messing around with integers? by M. I. Bashmakov On Bertrand's conjecture by M. I. Bashmakov On best approximations. I by D. B. Fuchs and M. B. Fuchs On best approximations. II by D. B. Fuchs and M. B. Fuchs On a certain property of binomial coefficients by A. I. Shirshov On $n!$ and the number $e$ (Several approaches to a certain problem) by L. G. Limanov Rational approximations and transcendence by D. B. Fuchs and M. B. Fuchs Close fractions by V. N. Vaguten On the equation $\binom{n}{m} = \binom{n+1}{m1}$ by A. I. Shirshov On regular polygons, Euler's function, and Fermat numbers by A. Kirillov 2adic numbers by B. Bekker, S. Vostokov, and Yu. Ionin On the number $e$ by E. Kuzmin and A. Shirshov Markov's Diophantine equation by M. G. Krein The arithmetic of Gaussian integers by A. B. Goncharov Three formulas of Ramanujan by V. S. Shevelev Amazing adventures in the land of repeating decimals by V. G. Stolyar, E. A. Kuraev, Z. K. Silogadze, G. A. Galperin, and A. V. Korlyukov.
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QA241 .K93 1999 V.1  Available 
QA241 .K93 1999 V.2  Available 
 Providence, R.I. : American Mathematical Society, c1999.
 Description
 Book — 1 online resource (2 v. : ill).
 Summary

 1. Binomial coefficients, polynomials, and sequences (Several approaches to a certain problem) 2. Formulas for prime numbers 3. Fermat's theorem for polynomials 4. Commuting polynomials 5. On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunities 6. Chebyshev polynomials and recurrence relations 7. Why resistance does not decrease 8. Evolution processes and ordinary differential equations 9. Irrationality and irreducibility 10. Irreducibility and irrationality 11. The arithmetic of elliptic curves 12. Pascal's hexagrams and cubic curves 13. Kepler's second law and the topology of Abelian integrals (According to Newton) 14. Partitions of integers 15. On the Denogardus great number and Hooke's law 16. Polynomials having least deviation from zero
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 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — 1 online resource (xv, 203 pages : illustrations (some color)).
 Summary

 Chapter 1. Arnold in his own words Chapter 2. From Hilbert's superposition problem to dynamical systems Chapter 3. Recollections Chapter 4. Polymathematics: Is mathematics a single science or a set of arts? Chapter 5. A mathematical trivium Chapter 6. Comments on "A Mathematical Trivium" Chapter 7. About Vladimir Abramovich Rokhlin Photo Section I: 1940s1970s Photo Section II: 1980s1990s Photo Section III: 2000s Chapter 8. To whom it may concern Chapter 9. Remembering Vladimir Arnold: Early years Chapter 10. Vladimir I. Arnold Chapter 11. Memories of Vladimir Arnold Chapter 12. Dima Arnold in my life Chapter 13. V. I. Arnold, as I have seen him Chapter 14. My encounters with Vladimir Igorevich Arnold Chapter 15. On V. I. Arnold and hydrodynamics Chapter 16. Arnold's seminar, first years Chapter 17. Topology in Arnold's work Chapter 18. Arnold and symplectic geometry Chapter 19. Some recollections of Vladimir Igorevich Chapter 20. Remembering V. I. Arnold Chapter 21. Several thoughts about Arnold Chapter 22. Vladimir Igorevich Arnold: A view from the rear bench
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 Providence, R.I. : American Mathematical Society, c2003.
 Description
 Book — vi, 313 p. ; 26 cm.
 Summary

 Brief description of MASS program / Svetlana Katok, Serge Tabachnikov
 Teaching in the MASS program / George E. Andrews
 PART I. LECTURE NOTES
 padic analysis in comparison with real / Svetlana Katok
 Geometrical methods of mechanics / Mark Levi
 Geometric structures, symmetry and elements of Lie groups / Anatole Katok
 Continued fractions, hyperbolic geometry and quadratic forms / Svetlana Katok
 PART II. MASS COLLOQUIUM
 MASS colloquium / Serge Tabachnikov
 Hilbert's fourth problem in two dimensions / Juan C. Álvarez Paiva
 Integral lexicographic codes / John Conway
 Classification of finite simple groups / Edward Formanek
 Billiard balls count [pi] / Gregory Galperin
 Reptiles revisited / Viorel Niţicǎ
 Fractals and dynamics / Yakov Pesin
 Unprovable theorems and fastgrowing functions / Stephen G. Simpson
 Minimal surfaces and random walks / Alexei B. Sossinsky
 Tale of a geometric inequality / Serge Tabachnikov
 PART III. STUDENT RESEARCH PAPERS
 Summer REU program at Penn State / Moisey Guysinsky
 Partitions of n and connected triangles / Sharon Chuba
 Triangles gone wild / Joshua Kantor, Maksim Maydanskiy
 Determinacy of games / Alice Medvedev
 On the nonexistence of odd perfect numbers / John Voight
 APPENDICES:
 Appendix 1. MASS and REU courses and instructors
 Appendix 2. MASS colloquia
 Appendix 3. MASS and REU participants.
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SAL3 (offcampus storage)
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QA13.5 .P4 P466 2003  Available 
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